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KVPY Sample Paper KVPY Stream-SX Model Paper-19

  • question_answer
    Before a race, the chances of three runners A, B and C were estimated to be proportional to 5 : 3 : 2, but during the race, A meets with an accident which reduces his chance to 1/3. The respective chances of B and C now winning are

    A) \[\frac{3}{5},\frac{2}{5}\]

    B) \[\frac{2}{5},\frac{4}{15}\]

    C) \[\frac{7}{15},\frac{2}{15}\]

    D) \[\frac{3}{10},\frac{2}{10}\]

    Correct Answer: B

    Solution :

    Probability of A to not win \[=1-\frac{1}{3}=\frac{2}{3}\]
    \[P(B)=\frac{2}{3}.\frac{3}{5}=\frac{2}{5}\]
    \[P(C)=\frac{2}{3}.\frac{2}{5}=\frac{4}{15}\]


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